Chemistry Examples

$| 1 - 8 i |$

Step 1

Use the formula $| a + b i | = \sqrt{a^{2} + b^{2}}$ to find the magnitude.

$\sqrt{1^{2} + {(- 8)}^{2}}$

Step 2

One to any power is one.

$\sqrt{1 + {(- 8)}^{2}}$

Step 3

Raise $- 8$ to the power of $2$ .

$\sqrt{1 + 64}$

Step 4

Add $1$ and $64$ .

$\sqrt{65}$

Step 5

Find the approximate answer.

$\sqrt{65} \approx 8.06225774$